Evaluate the following integrals:
To Find :
Now, let x be written as - (1 - 2x) and split
Therefore ,
=
= +
Now solving,
Let = u dx =
Thus,becomes
Now , = = ) =
=
Now solving,
can be written as
i.e, =
let 2x – 1 = y dx =
Therefore , becomes
Formula Used: = + + C
Since is of the form with change in variable .
Hence, = + + C
= + + C
Since , 2x – 1 = y and dx =
Therefore,
= + + C
i.e, = + + C
hence , = + = = + + + C